λ
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5,083,722

2 × 34 × 7 × 4483
Abundant Even Composite

5,083,722 factors as 2 × 3^4 × 7 × 4483. Its 40 positive divisors give a proper-divisor sum of 7,937,814, so this integer is abundant. The Collatz stopping time is 131 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 7 × 4483
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 13,021,536
Proper Divisor Sum 7,937,814
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5083711 ← → #5083723

Radix Representation

Decimal 5083722
Binary 10011011001001001001010 (23 bits)
Octal 0o23311112
Hexadecimal 0x4D924A

Divisor Catalog (40)

1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 378 567 1,134 4,483 8,966 13,449 26,898 31,381 40,347 62,762 80,694 94,143 121,041 188,286 242,082 282,429 363,123 564,858 726,246 847,287 1,694,574 2,541,861 5,083,722

Collatz Trajectory (131 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

5,083,722 2,541,861 7,625,584 3,812,792 1,906,396 953,198 476,599 1,429,798 714,899 2,144,698 1,072,349 3,217,048 1,608,524 804,262 402,131 1,206,394 603,197 1,809,592 904,796 452,398 226,199 678,598 339,299 1,017,898 508,949 1,526,848 763,424 381,712 190,856 95,428 47,714 23,857 71,572 35,786 17,893 53,680 26,840 13,420 6,710 3,355 10,066 5,033 15,100 7,550 3,775 11,326 5,663 16,990 8,495 25,486 12,743 38,230 19,115 57,346 28,673 86,020 43,010 21,505 64,516 32,258

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